%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 20:16:12 EDT 2022
% Result : Theorem 0.75s 1.15s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon May 30 18:58:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { && }.
% 0.71/1.11 { aNaturalNumber0( sz00 ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) = sz00 }.
% 0.71/1.11 { ! aNaturalNumber0( X ), X = sz00, aNaturalNumber0( skol1( Y ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), X = sz00, X = szszuzczcdt0( skol1( X ) ) }.
% 0.71/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( X ) =
% 0.71/1.11 szszuzczcdt0( Y ), X = Y }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0( X ) ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { aScalar0( sz0z00 ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtpldt0( X, Y ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtasdt0( X, Y ) ) }.
% 0.71/1.11 { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.71/1.11 { ! aScalar0( X ), alpha3( X ) }.
% 0.71/1.11 { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00 }.
% 0.71/1.11 { ! alpha3( X ), alpha5( X ) }.
% 0.71/1.11 { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.71/1.11 { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X, alpha3( X ) }.
% 0.71/1.11 { ! alpha5( X ), alpha6( X ) }.
% 0.71/1.11 { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) = sz0z00 }.
% 0.71/1.11 { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X ) = sz0z00, alpha5( X ) }.
% 0.71/1.11 { ! alpha6( X ), alpha7( X ) }.
% 0.71/1.11 { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) = sz0z00 }.
% 0.71/1.11 { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) ) = sz0z00, alpha6( X ) }.
% 0.71/1.11 { ! alpha7( X ), alpha8( X ) }.
% 0.71/1.11 { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00 }.
% 0.71/1.11 { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) = sz0z00, alpha7( X ) }.
% 0.71/1.11 { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.71/1.11 { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.71/1.11 { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00 }.
% 0.71/1.11 { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0( sz0z00, X ) = X, ! sdtasdt0( X,
% 0.71/1.11 sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), alpha4( X, Y, Z ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, Y ) =
% 0.71/1.11 sdtasdt0( Y, X ) }.
% 0.71/1.11 { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.71/1.11 sdtpldt0( Y, Z ) ) }.
% 0.71/1.11 { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.71/1.11 { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.71/1.11 sdtasdt0( Y, Z ) ) }.
% 0.71/1.11 { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ), !
% 0.71/1.11 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sdtasdt0( sdtasdt0( X, Y ), Z ) =
% 0.71/1.11 sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, sdtpldt0
% 0.71/1.11 ( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( sdtpldt0( X
% 0.71/1.11 , Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ),
% 0.71/1.11 sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) = sdtpldt0( sdtpldt0(
% 0.71/1.11 sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0( sdtasdt0( Y, Z ),
% 0.71/1.11 sdtasdt0( Y, T ) ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( X, smndt0( Y ) ) = smndt0(
% 0.71/1.11 sdtasdt0( X, Y ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), Y ) = smndt0(
% 0.71/1.11 sdtasdt0( X, Y ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), smndt0( Y ) ) =
% 0.71/1.11 sdtasdt0( X, Y ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y,
% 0.71/1.11 X ), X = Y }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! sdtlseqdt0( X, Y ),
% 0.71/1.11 ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.71/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtpldt0( X, Z ),
% 0.71/1.11 sdtpldt0( Y, T ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.71/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ), ! sdtlseqdt0( Z, T ),
% 0.71/1.11 sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) ) }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X )
% 0.71/1.11 }.
% 0.71/1.11 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.71/1.11 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtpldt0( X, Y ) ) }.
% 0.75/1.15 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.75/1.15 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 0.75/1.15 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 0.75/1.15 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.75/1.15 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 0.75/1.15 { && }.
% 0.75/1.15 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 0.75/1.15 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 0.75/1.15 .
% 0.75/1.15 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.75/1.15 aVector0( Y ) }.
% 0.75/1.15 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.75/1.15 alpha1( X, Y ) }.
% 0.75/1.15 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 0.75/1.15 , Y ), Y = sziznziztdt0( X ) }.
% 0.75/1.15 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 0.75/1.15 }.
% 0.75/1.15 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.75/1.15 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 0.75/1.15 ), alpha1( X, Y ) }.
% 0.75/1.15 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 0.75/1.15 ( X, Z ) }.
% 0.75/1.15 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.75/1.15 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { aVector0( xs ) }.
% 0.75/1.15 { aVector0( xt ) }.
% 0.75/1.15 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.75/1.15 { ! aDimensionOf0( xt ) = sz00 }.
% 0.75/1.15 { aVector0( sziznziztdt0( xs ) ) }.
% 0.75/1.15 { szszuzczcdt0( aDimensionOf0( sziznziztdt0( xs ) ) ) = aDimensionOf0( xs )
% 0.75/1.15 }.
% 0.75/1.15 { ! aNaturalNumber0( X ), sdtlbdtrb0( sziznziztdt0( xs ), X ) = sdtlbdtrb0
% 0.75/1.15 ( xs, X ) }.
% 0.75/1.15 { aVector0( sziznziztdt0( xt ) ) }.
% 0.75/1.15 { szszuzczcdt0( aDimensionOf0( sziznziztdt0( xt ) ) ) = aDimensionOf0( xt )
% 0.75/1.15 }.
% 0.75/1.15 { ! aNaturalNumber0( X ), sdtlbdtrb0( sziznziztdt0( xt ), X ) = sdtlbdtrb0
% 0.75/1.15 ( xt, X ) }.
% 0.75/1.15 { ! aDimensionOf0( sziznziztdt0( xs ) ) = aDimensionOf0( sziznziztdt0( xt )
% 0.75/1.15 ) }.
% 0.75/1.15
% 0.75/1.15 percentage equality = 0.264706, percentage horn = 0.905405
% 0.75/1.15 This is a problem with some equality
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Options Used:
% 0.75/1.15
% 0.75/1.15 useres = 1
% 0.75/1.15 useparamod = 1
% 0.75/1.15 useeqrefl = 1
% 0.75/1.15 useeqfact = 1
% 0.75/1.15 usefactor = 1
% 0.75/1.15 usesimpsplitting = 0
% 0.75/1.15 usesimpdemod = 5
% 0.75/1.15 usesimpres = 3
% 0.75/1.15
% 0.75/1.15 resimpinuse = 1000
% 0.75/1.15 resimpclauses = 20000
% 0.75/1.15 substype = eqrewr
% 0.75/1.15 backwardsubs = 1
% 0.75/1.15 selectoldest = 5
% 0.75/1.15
% 0.75/1.15 litorderings [0] = split
% 0.75/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.15
% 0.75/1.15 termordering = kbo
% 0.75/1.15
% 0.75/1.15 litapriori = 0
% 0.75/1.15 termapriori = 1
% 0.75/1.15 litaposteriori = 0
% 0.75/1.15 termaposteriori = 0
% 0.75/1.15 demodaposteriori = 0
% 0.75/1.15 ordereqreflfact = 0
% 0.75/1.15
% 0.75/1.15 litselect = negord
% 0.75/1.15
% 0.75/1.15 maxweight = 15
% 0.75/1.15 maxdepth = 30000
% 0.75/1.15 maxlength = 115
% 0.75/1.15 maxnrvars = 195
% 0.75/1.15 excuselevel = 1
% 0.75/1.15 increasemaxweight = 1
% 0.75/1.15
% 0.75/1.15 maxselected = 10000000
% 0.75/1.15 maxnrclauses = 10000000
% 0.75/1.15
% 0.75/1.15 showgenerated = 0
% 0.75/1.15 showkept = 0
% 0.75/1.15 showselected = 0
% 0.75/1.15 showdeleted = 0
% 0.75/1.15 showresimp = 1
% 0.75/1.15 showstatus = 2000
% 0.75/1.15
% 0.75/1.15 prologoutput = 0
% 0.75/1.15 nrgoals = 5000000
% 0.75/1.15 totalproof = 1
% 0.75/1.15
% 0.75/1.15 Symbols occurring in the translation:
% 0.75/1.15
% 0.75/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.15 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.75/1.15 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.75/1.15 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.75/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.15 aNaturalNumber0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.75/1.15 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.75/1.15 szszuzczcdt0 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.15 iLess0 [40, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.75/1.15 aScalar0 [41, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.15 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.15 sdtpldt0 [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.75/1.15 sdtasdt0 [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.75/1.15 smndt0 [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.15 sdtlseqdt0 [48, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.75/1.15 aVector0 [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.15 aDimensionOf0 [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.15 sdtlbdtrb0 [51, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.75/1.15 sziznziztdt0 [52, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.75/1.15 xs [53, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.15 xt [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.15 alpha1 [55, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.75/1.15 alpha2 [56, 2] (w:1, o:62, a:1, s:1, b:1),
% 0.75/1.15 alpha3 [57, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.75/1.15 alpha4 [58, 3] (w:1, o:64, a:1, s:1, b:1),
% 0.75/1.15 alpha5 [59, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.75/1.15 alpha6 [60, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.75/1.15 alpha7 [61, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.75/1.15 alpha8 [62, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.75/1.15 skol1 [63, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.75/1.15 skol2 [64, 2] (w:1, o:63, a:1, s:1, b:1).
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Starting Search:
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for clauses
% 0.75/1.15 *** allocated 22500 integers for clauses
% 0.75/1.15 *** allocated 33750 integers for clauses
% 0.75/1.15 *** allocated 50625 integers for clauses
% 0.75/1.15 *** allocated 15000 integers for termspace/termends
% 0.75/1.15 *** allocated 75937 integers for clauses
% 0.75/1.15 *** allocated 22500 integers for termspace/termends
% 0.75/1.15 Resimplifying inuse:
% 0.75/1.15 Done
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Bliksems!, er is een bewijs:
% 0.75/1.15 % SZS status Theorem
% 0.75/1.15 % SZS output start Refutation
% 0.75/1.15
% 0.75/1.15 (6) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.75/1.15 , ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.75/1.15 (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0(
% 0.75/1.15 aDimensionOf0( X ) ) }.
% 0.75/1.15 (65) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==> aDimensionOf0( xs )
% 0.75/1.15 }.
% 0.75/1.15 (67) {G0,W3,D3,L1,V0,M1} I { aVector0( sziznziztdt0( xs ) ) }.
% 0.75/1.15 (68) {G0,W7,D5,L1,V0,M1} I { szszuzczcdt0( aDimensionOf0( sziznziztdt0( xs
% 0.75/1.15 ) ) ) ==> aDimensionOf0( xs ) }.
% 0.75/1.15 (70) {G0,W3,D3,L1,V0,M1} I { aVector0( sziznziztdt0( xt ) ) }.
% 0.75/1.15 (71) {G1,W7,D5,L1,V0,M1} I;d(65) { szszuzczcdt0( aDimensionOf0(
% 0.75/1.15 sziznziztdt0( xt ) ) ) ==> aDimensionOf0( xs ) }.
% 0.75/1.15 (73) {G0,W7,D4,L1,V0,M1} I { ! aDimensionOf0( sziznziztdt0( xt ) ) ==>
% 0.75/1.15 aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.75/1.15 (390) {G1,W4,D4,L1,V0,M1} R(52,67) { aNaturalNumber0( aDimensionOf0(
% 0.75/1.15 sziznziztdt0( xs ) ) ) }.
% 0.75/1.15 (391) {G1,W4,D4,L1,V0,M1} R(52,70) { aNaturalNumber0( aDimensionOf0(
% 0.75/1.15 sziznziztdt0( xt ) ) ) }.
% 0.75/1.15 (1142) {G2,W12,D4,L3,V1,M3} P(6,73);d(71);r(391) { ! X = aDimensionOf0(
% 0.75/1.15 sziznziztdt0( xs ) ), ! aNaturalNumber0( X ), ! aDimensionOf0( xs ) =
% 0.75/1.15 szszuzczcdt0( X ) }.
% 0.75/1.15 (1150) {G3,W0,D0,L0,V0,M0} Q(1142);d(68);q;r(390) { }.
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 % SZS output end Refutation
% 0.75/1.15 found a proof!
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Unprocessed initial clauses:
% 0.75/1.15
% 0.75/1.15 (1152) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.15 (1153) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.75/1.15 (1154) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 0.75/1.15 szszuzczcdt0( X ) ) }.
% 0.75/1.15 (1155) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) =
% 0.75/1.15 sz00 }.
% 0.75/1.15 (1156) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 0.75/1.15 aNaturalNumber0( skol1( Y ) ) }.
% 0.75/1.15 (1157) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 0.75/1.15 szszuzczcdt0( skol1( X ) ) }.
% 0.75/1.15 (1158) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.75/1.15 (1159) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.15 (1160) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 0.75/1.15 szszuzczcdt0( X ) ) }.
% 0.75/1.15 (1161) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.15 (1162) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 0.75/1.15 (1163) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 0.75/1.15 sdtpldt0( X, Y ) ) }.
% 0.75/1.15 (1164) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 0.75/1.15 sdtasdt0( X, Y ) ) }.
% 0.75/1.15 (1165) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.75/1.15 (1166) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 0.75/1.15 (1167) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 0.75/1.15 }.
% 0.75/1.15 (1168) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 0.75/1.15 (1169) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.75/1.15 (1170) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 0.75/1.15 alpha3( X ) }.
% 0.75/1.15 (1171) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 0.75/1.15 (1172) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 0.75/1.15 sz0z00 }.
% 0.75/1.15 (1173) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 0.75/1.15 = sz0z00, alpha5( X ) }.
% 0.75/1.15 (1174) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 0.75/1.15 (1175) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 0.75/1.15 sz0z00 }.
% 0.75/1.15 (1176) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 0.75/1.15 = sz0z00, alpha6( X ) }.
% 0.75/1.15 (1177) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 0.75/1.15 (1178) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00
% 0.75/1.15 }.
% 0.75/1.15 (1179) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 0.75/1.15 sz0z00, alpha7( X ) }.
% 0.75/1.15 (1180) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.75/1.15 (1181) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.75/1.15 (1182) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00
% 0.75/1.15 }.
% 0.75/1.15 (1183) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 0.75/1.15 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.75/1.15 (1184) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), alpha4( X, Y, Z ) }.
% 0.75/1.15 (1185) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.75/1.15 (1186) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X,
% 0.75/1.15 Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.75/1.15 (1187) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 0.75/1.15 sdtpldt0( Y, X ) }.
% 0.75/1.15 (1188) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X,
% 0.75/1.15 Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.75/1.15 (1189) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0
% 0.75/1.15 ( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 0.75/1.15 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4
% 0.75/1.15 ( X, Y, Z ) }.
% 0.75/1.15 (1190) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ),
% 0.75/1.15 sdtasdt0( X, Z ) ) }.
% 0.75/1.15 (1191) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ),
% 0.75/1.15 sdtasdt0( Y, Z ) ) }.
% 0.75/1.15 (1192) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) =
% 0.75/1.15 sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0(
% 0.75/1.15 sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 0.75/1.15 (1193) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0(
% 0.75/1.15 X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 0.75/1.15 (1194) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0(
% 0.75/1.15 smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 0.75/1.15 (1195) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0(
% 0.75/1.15 smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 0.75/1.15 (1196) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.15 (1197) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.75/1.15 (1198) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.75/1.15 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.75/1.15 (1199) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.75/1.15 (1200) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ),
% 0.75/1.15 sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 0.75/1.15 (1201) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.75/1.15 ( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ),
% 0.75/1.15 ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) )
% 0.75/1.15 }.
% 0.75/1.15 (1202) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0
% 0.75/1.15 ( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.75/1.15 (1203) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.75/1.15 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 0.75/1.15 sdtpldt0( X, Y ) ) }.
% 0.75/1.15 (1204) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.75/1.15 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 0.75/1.15 sdtasdt0( X, Y ) ) }.
% 0.75/1.15 (1205) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0
% 0.75/1.15 ( X, X ) ) }.
% 0.75/1.15 (1206) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.75/1.15 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 0.75/1.15 sdtasdt0( Y, Y ), X = Y }.
% 0.75/1.15 (1207) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.15 (1208) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 0.75/1.16 aDimensionOf0( X ) ) }.
% 0.75/1.16 (1209) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 0.75/1.16 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 0.75/1.16 (1210) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00,
% 0.75/1.16 ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 0.75/1.16 (1211) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00,
% 0.75/1.16 ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 0.75/1.16 (1212) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00,
% 0.75/1.16 ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 0.75/1.16 (1213) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0
% 0.75/1.16 ( Y ) ) = aDimensionOf0( X ) }.
% 0.75/1.16 (1214) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.75/1.16 (1215) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 0.75/1.16 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.75/1.16 (1216) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 0.75/1.16 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 0.75/1.16 (1217) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X,
% 0.75/1.16 Y ) }.
% 0.75/1.16 (1218) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 0.75/1.16 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 0.75/1.16 (1219) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 0.75/1.16 (1220) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 0.75/1.16 (1221) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.75/1.16 (1222) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xt ) = sz00 }.
% 0.75/1.16 (1223) {G0,W3,D3,L1,V0,M1} { aVector0( sziznziztdt0( xs ) ) }.
% 0.75/1.16 (1224) {G0,W7,D5,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( sziznziztdt0( xs
% 0.75/1.16 ) ) ) = aDimensionOf0( xs ) }.
% 0.75/1.16 (1225) {G0,W10,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlbdtrb0(
% 0.75/1.16 sziznziztdt0( xs ), X ) = sdtlbdtrb0( xs, X ) }.
% 0.75/1.16 (1226) {G0,W3,D3,L1,V0,M1} { aVector0( sziznziztdt0( xt ) ) }.
% 0.75/1.16 (1227) {G0,W7,D5,L1,V0,M1} { szszuzczcdt0( aDimensionOf0( sziznziztdt0( xt
% 0.75/1.16 ) ) ) = aDimensionOf0( xt ) }.
% 0.75/1.16 (1228) {G0,W10,D4,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlbdtrb0(
% 0.75/1.16 sziznziztdt0( xt ), X ) = sdtlbdtrb0( xt, X ) }.
% 0.75/1.16 (1229) {G0,W7,D4,L1,V0,M1} { ! aDimensionOf0( sziznziztdt0( xs ) ) =
% 0.75/1.16 aDimensionOf0( sziznziztdt0( xt ) ) }.
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Total Proof:
% 0.75/1.16
% 0.75/1.16 subsumption: (6) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 0.75/1.16 aNaturalNumber0( Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.75/1.16 parent0: (1158) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 0.75/1.16 aNaturalNumber0( Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.75/1.16 substitution0:
% 0.75/1.16 X := X
% 0.75/1.16 Y := Y
% 0.75/1.16 end
% 0.75/1.16 permutation0:
% 0.75/1.16 0 ==> 0
% 0.75/1.16 1 ==> 1
% 0.75/1.16 2 ==> 2
% 0.75/1.16 3 ==> 3
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 *** allocated 33750 integers for termspace/termends
% 0.75/1.16 subsumption: (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0
% 0.75/1.16 ( aDimensionOf0( X ) ) }.
% 0.75/1.16 parent0: (1208) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 0.75/1.16 aDimensionOf0( X ) ) }.
% 0.75/1.16 substitution0:
% 0.75/1.16 X := X
% 0.75/1.16 end
% 0.75/1.16 permutation0:
% 0.75/1.16 0 ==> 0
% 0.75/1.16 1 ==> 1
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 *** allocated 113905 integers for clauses
% 0.75/1.16 eqswap: (1618) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0(
% 0.75/1.16 xs ) }.
% 0.75/1.16 parent0[0]: (1221) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) =
% 0.75/1.16 aDimensionOf0( xt ) }.
% 0.75/1.16 substitution0:
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 subsumption: (65) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 0.75/1.16 aDimensionOf0( xs ) }.
% 0.75/1.16 parent0: (1618) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0
% 0.75/1.16 ( xs ) }.
% 0.75/1.16 substitution0:
% 0.75/1.16 end
% 0.75/1.16 permutation0:
% 0.75/1.16 0 ==> 0
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 subsumption: (67) {G0,W3,D3,L1,V0,M1} I { aVector0( sziznziztdt0( xs ) )
% 0.75/1.16 }.
% 0.75/1.16 parent0: (1223) {G0,W3,D3,L1,V0,M1} { aVector0( sziznziztdt0( xs ) ) }.
% 0.75/1.16 substitution0:
% 0.75/1.16 end
% 0.75/1.16 permutation0:
% 0.75/1.16 0 ==> 0
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 *** allocated 50625 integers for termspace/termends
% 0.75/1.16 subsumption: (68) {G0,W7,D5,L1,V0,M1} I { szszuzczcdt0( aDimensionOf0(
% 0.75/1.16 sziznziztdt0( xs ) ) ) ==> aDimensionOf0( xs ) }.
% 0.75/1.16 parent0: (1224) {G0,W7,D5,L1,V0,M1} { szszuzczcdt0( aDimensionOf0(
% 0.75/1.16 sziznziztdt0( xs ) ) ) = aDimensionOf0( xs ) }.
% 0.75/1.16 substitution0:
% 0.75/1.16 end
% 0.75/1.16 permutation0:
% 0.75/1.16 0 ==> 0
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 subsumption: (70) {G0,W3,D3,L1,V0,M1} I { aVector0( sziznziztdt0( xt ) )
% 0.75/1.16 }.
% 0.75/1.16 parent0: (1226) {G0,W3,D3,L1,V0,M1} { aVector0( sziznziztdt0( xt ) ) }.
% 0.75/1.16 substitution0:
% 0.75/1.16 end
% 0.75/1.16 permutation0:
% 0.75/1.16 0 ==> 0
% 0.75/1.16 end
% 0.75/1.16
% 0.75/1.16 paramod: (2511) {G1,W7,D5,L1,V0,M1} { szszuzczcdt0( aDimensionOf0(
% 0.75/1.16 sCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------